MATH201_worksheet4_data1 MATH201_Worksheet4 Math_sheetSample
Watershed TOTALP
UPPER DELAWARE 0.3886
EAST BRANCH DELAWARE 0.3176
LACKAWAXEN 0.3651
MIDDLE DELAWARE-MONGAUP-BRODHEAD 0.3175
MIDDLE DELAWARE-MUSCONETCONG 0.6457
LEHIGH 0.5521
CROSSWICKS-NESHAMINY 0.8097
LOWER DELAWARE 0.7781
SCHUYLKILL 0.7025
BRANDYWINE-CHRISTINA 0.8449
COHANSEY-MAURICE 0.6191
BROADKILL-SMYRNA 1.0916
UPPER SUSQUEHANNA 0.4813
CHENANGO 0.5143
OWEGO-WAPPASENING 0.4794
TIOGA 0.5262
CHEMUNG 0.5495
UPPER SUSQUEHANNA-TUNKHANNOCK 0.5312
UPPER SUSQUEHANNA-LACKAWANNA 0.5349
UPPER WEST BRANCH SUSQUEHANNA 0.3469
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MATH 201 Statistics for Environmental Professionals ● Worksheet 4
Name
Section 1. Suppose that you suspect nutrient overload in a stream water, especially phosphorous. It is
generally considered that the upper limit of phosphorous amount in natural water is 0.05 mg/L. You want
to test whether the stream has larger amount of phosphorus that this upper limit. You randomly take a
water sample of size 16 from the stream. The mean phosphorous amount in the sample is 0.053 mg/L and
the standard deviation is 0.008 mg/L. Perform the hypothesis test using the significance level of 0.05 by
completing the following steps. Refer to the examples in the textbook 9.5.
Question 1. Write down the null and alternative hypothesis using words. (10%)
Question 2. Write down the null and alternative hypothesis using symbols. (10%)
Question 3. What is the value of α in this hypothesis test? (5%)
Question 4. Determine an appropriate distribution (standard normal distribution or t-distribution) to use.
State the reason to support your choice. (5%)
Question 5. Sketch the distribution selected above and shade the area where your null hypothesis is
rejected. (10%)
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Question 6. Calculate the value of the test statistic using the formula. Show your work. (10%)
Question 7. Find the p-value using an appropriate table or technology (e.g. calculator). (10%)
Question 8. Compare the p-value and the value of α. Then determine whether you should reject or not to
reject the null hypothesis. (10%)
Question 9. State the conclusion of the hypothesis testing in words. (10%)
Section 2. The accompanied data is a part of a dataset of measured phosphorous amount
(kilograms/hectare/year) by watershed. We want to test whether the mean phosphorous amount is greater
than 0.55 kilograms/hectare/year. Using JMP, calculate and report an appropriate test statistic and p-
value. Refer to JMP Learning Library, Basic Inference – Proportions and Means/ One Sample t-test and
CI (video or one-page guide). Attach the output to this report. (20%)
Test statistic:
P-value:
Source: U.S. Environmental Protection Agency (2016) Total phosphorous in surface water.
https://catalog.data.gov/dataset/total-phosphorus-in-surface-water (accessed 7/14/2020)
https://www.jmp.com/en_us/learning-library/basic-inference-proportions-and-means.html
https://www.jmp.com/en_us/learning-library/basic-inference-proportions-and-means.html
MATH 201
Question 1. Create one research question and select a data set to test your research question. Your
research question should be one of the two types outlined in “Data and Research Questions.” Note that the
data set should align with the research question and contains at least 20 observations. State the research
question and data source. (40
%)
Research question: Has rhino poaching increased over time?
Data source: https://ourworldindata.org/grapher/number-of-rhinos-poached
Question 2. Identify the variable to test your research question. (10 %)
The research question will be tested using correlation and regression analysis
Question 3. Using JMP, calculate descriptive statistics (mean, standard deviation, and five number
summary) of your data set. If your research question is to compare the mean of two groups, calculate the
descriptive statistics for each group’s data set. Refer to JMP Learning Library, Histograms, Descriptive
Stats and Stem and Leaf (video or one-page guide). (15%)
Question 4. Using JMP, create a histogram(s) with your data. If your research question is to compare the
means of two groups, create two histograms (one for each group). Clearly label the x and y-axis. Refer to
JMP Learning Library, Histograms, Descriptive Stats and Stem and Leaf (video or one-page guide). (15
%)
Final Project deliverable 2. Data and research question ● Name:
https://www.jmp.com/en_us/learning-library/graphical-displays-and-summaries.html
https://www.jmp.com/en_us/learning-library/graphical-displays-and-summaries.html
https://www.jmp.com/en_us/learning-library/graphical-displays-and-summaries.html
Question 5. Attach your data set to this report. (10 %)
Year
Number of Rhinos
Poached
1990 14
1992 18
1993 14
1994 27
1995 14
1996 6
1998 12
1999 13
2000 12
2001 9
2002 25
2003 22
2004 10
2005 11
2006 36
2007 13
2008 83
2009 122
2010 333
2011 448
2012 668
2013 1004
2014 1215
2015 1175
2016 1054
2017 1028
Grammar: Read and check grammatical errors before submission. (10 %)
